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Simplifying -51 = 6x + -5(x + 12) Reorder the terms: -51 = 6x + -5(12 + x) -51 = 6x + (12 * -5 + x * -5) -51 = 6x + (-60 + -5x) Reorder the terms: -51 = -60 + 6x + -5x Combine like terms: 6x + -5x = 1x -51 = -60 + 1x Solving -51 = -60 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -51 + -1x = -60 + 1x + -1x Combine like terms: 1x + -1x = 0 -51 + -1x = -60 + 0 -51 + -1x = -60 Add '51' to each side of the equation. -51 + 51 + -1x = -60 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = -60 + 51 -1x = -60 + 51 Combine like terms: -60 + 51 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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